Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 7.4-8

STABILITY OF THERMODYNAMIC SYSTEMS

Physics — Statistical Mechanics · specific-heat-pressure-derivative

Problem

Show that (∂cp∂P)T=−Tv[α2+(∂α∂T)P]\left(\frac{\partial c_p}{\partial P}\right)_T = -Tv\left[\alpha^2 + \left(\frac{\partial \alpha}{\partial T}\right)_P\right] Evaluate this quantity for a system obeying the equation of state P(v+AT2)=RTP\left(v + \frac{A}{T^2}\right) = RT

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